Prime p₀= 3091300552029325421 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 158
Found by: L@MiR
db: batch=83, k=10, 2 28 2 46 2

STPT(10)	3091299306236650799	0 2 12 14 90 92 168 170 180 182	-1245792674622
SPT(16)	3091299402957551491	0 10 30 40 60 66 72 102 250 280 286 292 312 322 342 352	-1149071773930
SPT(16)	3091300091341293889	0 22 30 52 54 84 100 120 214 234 250 280 282 304 312 334	-460688031532
SPT(16)	3091300103788301567	0 54 92 114 126 152 204 210 296 302 354 380 392 414 452 506	-448241023854
SPT(16)	3091300383352439387	0 2 50 86 126 132 140 156 266 282 290 296 336 372 420 422	-168676886034
SPT(16)	3091300482096353669	0 2 8 48 114 120 140 158 174 192 212 218 284 324 330 332	-69932971752
STPT(10)	3091300692972349367	0 2 42 44 72 74 102 104 144 146	140943023946
SPT(16)	3091300761256350683	0 6 8 18 36 50 98 140 144 186 234 248 266 276 278 284	209227025262
STPT(10)	3091300882146733769	0 2 42 44 60 62 78 80 120 122	330117408348
STPT(10)	3091300883284566257	0 2 30 32 42 44 54 56 84 86	331255240836
STPT(10)	3091301110250316737	0 2 54 56 72 74 90 92 144 146	558220991316